Possible resistances using 3 resistors?

1. The problem statement, all variables and given/known data

You have 3 resistors 1000ohms each. List all the resistances you can achieve using this set.

2. Relevant equations

R in series = R1 + R2 + R3….etc

1/R in parallel = 1/R1 + 1/R2 + 1/R3…etc

3. The attempt at a solution

If they are all in series you have 3000ohms. If they are all in parallel you have 333.333ohms. If two are in parallel while one is in series, you have 1500ohms. If one is in parallel while two are in series, then I’m getting that the Req will be 3000ohms. I’m not sure if that last part is correct. If it is, then the possible resistances are 333.33ohms, 1500ohms, and 3000ohms.


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